A circle C C\,C with radius 10 passes through (0,0)(0, 0)(0,0) and (0,12)(0, 12)(0,12).
Find the coordinates of the centres of the two possible circles.
Sketch the two possible positions of CCC.
Find the equations of the two circles.
292 exam-style questions on Edexcel A Level Maths Circles, covering 6.1 Midpoints and Perpendicular Bisectors, 6.2 Equation of a Circle, 6.3 Intersections of Straight Lines and Circles, 6.4 Use Tangent and Chord Properties, and 6.5 Circles and Triangles. Each one has a worked solution and a mark scheme showing where the marks go.